Learning Standard

6A. Demonstrate
knowledge and use of numbers and their representations in a broad range
of theoretical and practical settings. 
Early Elementary

6.A.1a Identify whole numbers and compare them using
the symbols <, >, or = and the words "less than", "greater than", or
"equal to", applying counting, grouping and place value concepts.

Late Elementary

6.A.2 Compare and order whole numbers, fractions and
decimals using concrete materials, drawings and mathematical symbols.

Middle & Junior
High School

6.A.3 Represent fractions, decimals, percentages, exponents
and scientific notation in equivalent forms. 
Early High School

6.A.4 Identify and apply the associative, commutative,
distributive and identity properties of real numbers, including special
numbers such as pi and square roots. 
Late High School 
6.A.5 Perform addition, subtraction and multiplication
of complex numbers and graph the results in the complex plane. 
Learning Standard

6C. Compute
and estimate using mental mathematics, paperandpencil methods, calculators
and computers. 
Early Elementary

6.C.1a Select and perform computational procedures
to solve problems with whole numbers. 
Early Elementary

6.C.1b Show evidence that whole number computational
results are correct and/or that estimates are reasonable. 
Late Elementary

6.C.2a Select and perform computational procedures
to solve problems with whole numbers, fractions and decimals 
Late Elementary

6.C.2b Show evidence that computational results using
whole numbers, fractions and decimals are correct and/or that estimates
are reasonable. 
Middle & Junior
High School

6.C.3a Select computational procedures and solve problems
with whole numbers, fractions, decimals, percents and proportions. 
Middle & Junior
High School

6.C.3b Show evidence that computational results using
whole numbers, fractions, decimals, percents and proportions are correct
and/or that estimates are reasonable. 
Early High School

6.C.4 Determine whether exact values or approximations
are appropriate (e.g., bid a job, determine gas mileage for a trip).

Late High School

6.C.5 Determine the level of accuracy needed for computations
involving measurement and irrational numbers. 
Learning Standard

6D. Solve problems
using comparison of quantities, ratios, proportions and percents. 
Early Elementary

6.D.1 Compare the numbers of objects in groups. 
Late Elementary

6.D.2 Describe the relationship between two sets of
data using ratios and appropriate notations (e.g., a/b, a to b, a:b).

Middle & Junior
High School

6.D.3 Apply ratios and proportions to solve practical
problems. 
Early High School

6.D.4 Solve problems involving recipes or mixtures,
financial calculations and geometric similarity using ratios, proportions
and percents. 
Late High School

6.D.5 Solve problems involving loans, mortgages and
other practical applications involving geometric patterns of growth.
